4 3/4 In Decimal Form

4 3/4 In Decimal Form

In mathematics, a decimal is a number that can be represented as a fraction of a power of ten. Decimals are often used to represent numbers that are not whole numbers.

The number 4 3/4 can be written as a decimal as follows:

4 3/4 = 4 + 3/4 

= 4 + (3 / 4) 

= 4 + 0.75 

= 4.75 

Therefore, the decimal form of 4 3/4 is 4.75.

Questions and Discussion

Question 1: How can we convert a mixed number to a decimal?

Answer: To convert a mixed number to a decimal, we can follow these steps:

1. Divide the whole number part of the mixed number by the denominator of the fractional part.
2. Add the decimal part of the fractional part to the result of the division.

For example, to convert 4 3/4 to a decimal, we would follow these steps:

1. Divide 4 by 4, which gives us 1.
2. Add 3/4 to 1, which gives us 4.75.

Therefore, 4 3/4 is equal to 4.75.

Question 2: What is the meaning of the repeating decimal 0.33333333…?

Answer: The repeating decimal 0.33333333… is equal to 1/3.

To see this, we can write the repeating decimal as a fraction with a denominator of 9:

0.33333333... = 333/999 

We can then simplify the fraction by dividing the numerator and denominator by 3:

0.33333333... = 111/333 

Finally, we can divide the numerator and denominator by 11:

0.33333333... = 10/30 

Therefore, 0.33333333… is equal to 1/3.

Question 3: How can we convert a decimal to a mixed number?

Answer: To convert a decimal to a mixed number, we can follow these steps:

1. Round the decimal to the nearest whole number.
2. Subtract the rounded decimal from the original decimal.
3. The remainder is the fractional part of the mixed number.

For example, to convert 4.75 to a mixed number, we would follow these steps:

1. Round 4.75 to the nearest whole number, which gives us 5.
2. Subtract 4.75 from 5, which gives us 0.25.
3. Therefore, 4.75 is equal to 5 0.25.

Conclusion

In conclusion, the decimal form of 4 3/4 is 4.75. We can convert mixed numbers to decimals by dividing the whole number part by the denominator of the fractional part, and then adding the decimal part of the fractional part to the result of the division. We can also convert decimals to mixed numbers by rounding the decimal to the nearest whole number, subtracting the rounded decimal from the original decimal, and then using the remainder as the fractional part of the mixed number.